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Therefore roots occur at (-1, 0) and (3, 0). If we imagine multiplying out the brackets, you can see we will get a positive \({x ... this into the original equation.
If a quadratic equation can be factorised, the factors can be used to find the roots of the equation. The equation factorises to give \((x + 3) (x - 2) = 0 \) so the solutions to the equation \(x ...
There’s seemingly no end to how many things you can describe with a quadratic equation. Babylonians, in particular, would solve simultaneous equations to find the roots of a quadratic.
A positive number times itself is a positive ... happens when (b 2 —4ac)—the expression under the square root in the quadratic formula—is negative. They might have brushed this under the ...